Garibaldi: Difference between revisions

Revision as of 13:44, 8 November 2012

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This revision was by author guest and made on 2012-11-08 13:44:56 UTC.

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Original Wikitext content:

Garibaldi is a 7-limit (and higher) temperament of the [[schismatic family#Garibaldi]]. It is an extension of [[helmholtz]] temperament beyond the 5 limit but with the same simple chain-of-fifths structure (so that standard notation may be used). As in helmholtz temperament, 5/4 is mapped to the diminished fourth (e.g. A-Db), and the new mapping specific to garibaldi is that 7/4 is mapped to the double diminished octave (e.g. A-Abb). This makes garibaldi a [[marvel temperaments|marvel temperament]].

=Spectrum of Garibaldi Tunings by Eigenmonzos= 
||~ Eigenmonzo ||~ Fifth ||
|| 16/15 || 701.676 ||
|| 5/4 || 701.711 ||
|| 6/5 || 701.738 (5 limit minimax) ||
|| 10/9 || 701.760 ||
|| 15/13 || 701.9355 ||
|| 13/10 || 701.9362 ||
|| 4/3 || 701.955 ||
|| 16/13 || 702.026 ||
|| 13/12 || 702.030 ||
|| 18/13 || 702.034 ||
|| 11/10 || 702.097 ||
|| 15/11 || 702.102 ||
|| 14/13 || 702.109 (13 and 15 limit minimax) ||
|| 9/7 || 702.193 (9 and 11 limit minimax) ||
|| 7/6 || 702.209 (7 limit minimax) ||
|| 8/7 || 702.227 ||
|| 14/11 || 702.230 ||
|| 11/8 || 702.231 ||
|| 12/11 || 702.244 ||
|| 11/9 || 702.258 ||
|| 15/14 || 702.778 ||
|| 7/5 || 702.915 ||
|| 13/11 || 703.597 ||

Original HTML content:

<html><head><title>Garibaldi temperament</title></head><body>Garibaldi is a 7-limit (and higher) temperament of the <a class="wiki_link" href="/schismatic%20family#Garibaldi">schismatic family</a>. It is an extension of <a class="wiki_link" href="/helmholtz">helmholtz</a> temperament beyond the 5 limit but with the same simple chain-of-fifths structure (so that standard notation may be used). As in helmholtz temperament, 5/4 is mapped to the diminished fourth (e.g. A-Db), and the new mapping specific to garibaldi is that 7/4 is mapped to the double diminished octave (e.g. A-Abb). This makes garibaldi a <a class="wiki_link" href="/marvel%20temperaments">marvel temperament</a>.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Spectrum of Garibaldi Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:0 -->Spectrum of Garibaldi Tunings by Eigenmonzos</h1>
 

<table class="wiki_table">
    <tr>
        <th>Eigenmonzo<br />
</th>
        <th>Fifth<br />
</th>
    </tr>
    <tr>
        <td>16/15<br />
</td>
        <td>701.676<br />
</td>
    </tr>
    <tr>
        <td>5/4<br />
</td>
        <td>701.711<br />
</td>
    </tr>
    <tr>
        <td>6/5<br />
</td>
        <td>701.738 (5 limit minimax)<br />
</td>
    </tr>
    <tr>
        <td>10/9<br />
</td>
        <td>701.760<br />
</td>
    </tr>
    <tr>
        <td>15/13<br />
</td>
        <td>701.9355<br />
</td>
    </tr>
    <tr>
        <td>13/10<br />
</td>
        <td>701.9362<br />
</td>
    </tr>
    <tr>
        <td>4/3<br />
</td>
        <td>701.955<br />
</td>
    </tr>
    <tr>
        <td>16/13<br />
</td>
        <td>702.026<br />
</td>
    </tr>
    <tr>
        <td>13/12<br />
</td>
        <td>702.030<br />
</td>
    </tr>
    <tr>
        <td>18/13<br />
</td>
        <td>702.034<br />
</td>
    </tr>
    <tr>
        <td>11/10<br />
</td>
        <td>702.097<br />
</td>
    </tr>
    <tr>
        <td>15/11<br />
</td>
        <td>702.102<br />
</td>
    </tr>
    <tr>
        <td>14/13<br />
</td>
        <td>702.109 (13 and 15 limit minimax)<br />
</td>
    </tr>
    <tr>
        <td>9/7<br />
</td>
        <td>702.193 (9 and 11 limit minimax)<br />
</td>
    </tr>
    <tr>
        <td>7/6<br />
</td>
        <td>702.209 (7 limit minimax)<br />
</td>
    </tr>
    <tr>
        <td>8/7<br />
</td>
        <td>702.227<br />
</td>
    </tr>
    <tr>
        <td>14/11<br />
</td>
        <td>702.230<br />
</td>
    </tr>
    <tr>
        <td>11/8<br />
</td>
        <td>702.231<br />
</td>
    </tr>
    <tr>
        <td>12/11<br />
</td>
        <td>702.244<br />
</td>
    </tr>
    <tr>
        <td>11/9<br />
</td>
        <td>702.258<br />
</td>
    </tr>
    <tr>
        <td>15/14<br />
</td>
        <td>702.778<br />
</td>
    </tr>
    <tr>
        <td>7/5<br />
</td>
        <td>702.915<br />
</td>
    </tr>
    <tr>
        <td>13/11<br />
</td>
        <td>703.597<br />
</td>
    </tr>
</table>

</body></html>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-11-03 20:12:24 UTC</tt>.<br>
+: This revision was by author [[User:guest|guest]] and made on <tt>2012-11-08 13:44:56 UTC</tt>.<br>
-: The original revision id was <tt>378944314</tt>.<br>
+: The original revision id was <tt>380549834</tt>.<br>
 : The revision comment was: <tt></tt><br>
 The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
 <h4>Original Wikitext content:</h4>
-<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">See [[Schismatic family#Garibaldi|Schismatic family#Garibaldi]]
+<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">Garibaldi is a 7-limit (and higher) temperament of the [[schismatic family#Garibaldi]]. It is an extension of [[helmholtz]] temperament beyond the 5 limit but with the same simple chain-of-fifths structure (so that standard notation may be used). As in helmholtz temperament, 5/4 is mapped to the diminished fourth (e.g. A-Db), and the new mapping specific to garibaldi is that 7/4 is mapped to the double diminished octave (e.g. A-Abb). This makes garibaldi a [[marvel temperaments|marvel temperament]].
 =Spectrum of Garibaldi Tunings by Eigenmonzos=
@@ Line 32: / Line 32: @@
 || 15/14 || 702.778 ||
 || 7/5 || 702.915 ||
-|| 13/11 || 703.597 ||
+|| 13/11 || 703.597 ||</pre></div>
-</pre></div>
 <h4>Original HTML content:</h4>
-<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Garibaldi temperament&lt;/title&gt;&lt;/head&gt;&lt;body&gt;See &lt;a class="wiki_link" href="/Schismatic%20family#Garibaldi"&gt;Schismatic family#Garibaldi&lt;/a&gt;&lt;br /&gt;
+<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Garibaldi temperament&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Garibaldi is a 7-limit (and higher) temperament of the &lt;a class="wiki_link" href="/schismatic%20family#Garibaldi"&gt;schismatic family&lt;/a&gt;. It is an extension of &lt;a class="wiki_link" href="/helmholtz"&gt;helmholtz&lt;/a&gt; temperament beyond the 5 limit but with the same simple chain-of-fifths structure (so that standard notation may be used). As in helmholtz temperament, 5/4 is mapped to the diminished fourth (e.g. A-Db), and the new mapping specific to garibaldi is that 7/4 is mapped to the double diminished octave (e.g. A-Abb). This makes garibaldi a &lt;a class="wiki_link" href="/marvel%20temperaments"&gt;marvel temperament&lt;/a&gt;.&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Spectrum of Garibaldi Tunings by Eigenmonzos"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Spectrum of Garibaldi Tunings by Eigenmonzos&lt;/h1&gt;

Garibaldi: Difference between revisions

Revision as of 13:44, 8 November 2012

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